Zoom into object and open popup on click

You can try to use an animation library like GSAP to translate the camera towards the selected 3D object. The code for this looks like so:

gsap.to( camera.position, {
    duration: 1, // seconds
    x: target.x,
    y: target.y,
    z: target.z,
    onUpdate: function() {
        camera.lookAt( center );
    }
} );

The target vector is the destination that you have to define in the first place. After that you can put the above code at the place where console.log( 'Intersection:', intersects[ 0 ] ); is now executed.

Related topic: Need help with gsap camera and OrbitControls animations

Opening a popup after the animation has been finished can be triggered in the onComplete() callback.